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Finding the Fourth Proportional to 180,614, 270,921 and 49,286

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Solution

The fourth proportional to 180,614, 270,921 and 49,286 is: 73,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,614 : 270,921 = 49,286 : x
  2. Step 2: Convert to fraction form
    180,614/270,921 = 49,286/x
  3. Step 3: Cross multiply
    180,614x = 270,921 × 49,286
  4. Step 4: Simplify right side
    180,614x = 13,352,612,406
  5. Step 5: Solve for x
    x = 13,352,612,406/180,614
  6. Step 6: Final answer
    x = 73,929

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.